Finding the Third Proportional to 148,692,105 and 322,096,606

Step by Step Solution

1. Step 1: Write the proportion equation
   148,692,105 : 322,096,606 = 322,096,606 : x
2. Step 2: Convert to fraction form
   148,692,105/322,096,606 = 322,096,606/x
3. Step 3: Cross multiply
   148,692,105x = 322,096,606 × 322,096,606
4. Step 4: Simplify right side
   148,692,105x = 103,746,223,596,719,232
5. Step 5: Solve for x
   x = 103,746,223,596,719,232/148,692,105
6. Step 6: Final answer
   x = 697,725,165.68