Finding the Third Proportional to 411,602,184,834 and 891,584,056,884

Step by Step Solution

1. Step 1: Write the proportion equation
   411,602,184,834 : 891,584,056,884 = 891,584,056,884 : x
2. Step 2: Convert to fraction form
   411,602,184,834/891,584,056,884 = 891,584,056,884/x
3. Step 3: Cross multiply
   411,602,184,834x = 891,584,056,884 × 891,584,056,884
4. Step 4: Simplify right side
   411,602,184,834x = 794,922,130,489,731,780,182,016
5. Step 5: Solve for x
   x = 794,922,130,489,731,780,182,016/411,602,184,834
6. Step 6: Final answer
   x = 1,931,287,441,562.84