Finding the Third Proportional to 157,738 and 344,024.50

Step by Step Solution

1. Step 1: Write the proportion equation
   157,738 : 344,024.50 = 344,024.50 : x
2. Step 2: Convert to fraction form
   157,738/344,024.50 = 344,024.50/x
3. Step 3: Cross multiply
   157,738x = 344,024.50 × 344,024.50
4. Step 4: Simplify right side
   157,738x = 118,352,856,600.25
5. Step 5: Solve for x
   x = 118,352,856,600.25/157,738
6. Step 6: Final answer
   x = 750,312.90