Finding the Third Proportional to 101,587.50 and 152,381.25

Step by Step Solution

1. Step 1: Write the proportion equation
   101,587.50 : 152,381.25 = 152,381.25 : x
2. Step 2: Convert to fraction form
   101,587.50/152,381.25 = 152,381.25/x
3. Step 3: Cross multiply
   101,587.50x = 152,381.25 × 152,381.25
4. Step 4: Simplify right side
   101,587.50x = 23,220,045,351.56
5. Step 5: Solve for x
   x = 23,220,045,351.56/101,587.50
6. Step 6: Final answer
   x = 228,571.88