Finding the Third Proportional to 157,641 and 345,940.50

Step by Step Solution

1. Step 1: Write the proportion equation
   157,641 : 345,940.50 = 345,940.50 : x
2. Step 2: Convert to fraction form
   157,641/345,940.50 = 345,940.50/x
3. Step 3: Cross multiply
   157,641x = 345,940.50 × 345,940.50
4. Step 4: Simplify right side
   157,641x = 119,674,829,540.25
5. Step 5: Solve for x
   x = 119,674,829,540.25/157,641
6. Step 6: Final answer
   x = 759,160.56