Finding the Third Proportional to 69,123.50 and 145,624.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,123.50 : 145,624.50 = 145,624.50 : x
2. Step 2: Convert to fraction form
   69,123.50/145,624.50 = 145,624.50/x
3. Step 3: Cross multiply
   69,123.50x = 145,624.50 × 145,624.50
4. Step 4: Simplify right side
   69,123.50x = 21,206,495,000.25
5. Step 5: Solve for x
   x = 21,206,495,000.25/69,123.50
6. Step 6: Final answer
   x = 306,791.40