Finding the Third Proportional to 157,511 and 345,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   157,511 : 345,641.50 = 345,641.50 : x
2. Step 2: Convert to fraction form
   157,511/345,641.50 = 345,641.50/x
3. Step 3: Cross multiply
   157,511x = 345,641.50 × 345,641.50
4. Step 4: Simplify right side
   157,511x = 119,468,046,522.25
5. Step 5: Solve for x
   x = 119,468,046,522.25/157,511
6. Step 6: Final answer
   x = 758,474.31