Finding the Third Proportional to 103,770.50 and 152,212.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,770.50 : 152,212.50 = 152,212.50 : x
2. Step 2: Convert to fraction form
   103,770.50/152,212.50 = 152,212.50/x
3. Step 3: Cross multiply
   103,770.50x = 152,212.50 × 152,212.50
4. Step 4: Simplify right side
   103,770.50x = 23,168,645,156.25
5. Step 5: Solve for x
   x = 23,168,645,156.25/103,770.50
6. Step 6: Final answer
   x = 223,268.13