Finding the Third Proportional to 90,594 and 199,111

Step by Step Solution

1. Step 1: Write the proportion equation
   90,594 : 199,111 = 199,111 : x
2. Step 2: Convert to fraction form
   90,594/199,111 = 199,111/x
3. Step 3: Cross multiply
   90,594x = 199,111 × 199,111
4. Step 4: Simplify right side
   90,594x = 39,645,190,321
5. Step 5: Solve for x
   x = 39,645,190,321/90,594
6. Step 6: Final answer
   x = 437,613.86