Finding the Third Proportional to 152,476.50 and 235,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,476.50 : 235,627.50 = 235,627.50 : x
2. Step 2: Convert to fraction form
   152,476.50/235,627.50 = 235,627.50/x
3. Step 3: Cross multiply
   152,476.50x = 235,627.50 × 235,627.50
4. Step 4: Simplify right side
   152,476.50x = 55,520,318,756.25
5. Step 5: Solve for x
   x = 55,520,318,756.25/152,476.50
6. Step 6: Final answer
   x = 364,123.77