Finding the Third Proportional to 101,880 and 157,436.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,880 : 157,436.50 = 157,436.50 : x
2. Step 2: Convert to fraction form
   101,880/157,436.50 = 157,436.50/x
3. Step 3: Cross multiply
   101,880x = 157,436.50 × 157,436.50
4. Step 4: Simplify right side
   101,880x = 24,786,251,532.25
5. Step 5: Solve for x
   x = 24,786,251,532.25/101,880
6. Step 6: Final answer
   x = 243,288.69