Finding the Third Proportional to 103,194 and 157,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,194 : 157,747.50 = 157,747.50 : x
2. Step 2: Convert to fraction form
   103,194/157,747.50 = 157,747.50/x
3. Step 3: Cross multiply
   103,194x = 157,747.50 × 157,747.50
4. Step 4: Simplify right side
   103,194x = 24,884,273,756.25
5. Step 5: Solve for x
   x = 24,884,273,756.25/103,194
6. Step 6: Final answer
   x = 241,140.70