Finding the Third Proportional to 462,564,885 and 1,009,893,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   462,564,885 : 1,009,893,742.50 = 1,009,893,742.50 : x
2. Step 2: Convert to fraction form
   462,564,885/1,009,893,742.50 = 1,009,893,742.50/x
3. Step 3: Cross multiply
   462,564,885x = 1,009,893,742.50 × 1,009,893,742.50
4. Step 4: Simplify right side
   462,564,885x = 1,019,885,371,140,656,256
5. Step 5: Solve for x
   x = 1,019,885,371,140,656,256/462,564,885
6. Step 6: Final answer
   x = 2,204,848,236.89