Finding the Third Proportional to 101,662 and 157,273.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,662 : 157,273.50 = 157,273.50 : x
2. Step 2: Convert to fraction form
   101,662/157,273.50 = 157,273.50/x
3. Step 3: Cross multiply
   101,662x = 157,273.50 × 157,273.50
4. Step 4: Simplify right side
   101,662x = 24,734,953,802.25
5. Step 5: Solve for x
   x = 24,734,953,802.25/101,662
6. Step 6: Final answer
   x = 243,305.80