Finding the Third Proportional to 69,538.50 and 142,382.81

Step by Step Solution

1. Step 1: Write the proportion equation
   69,538.50 : 142,382.81 = 142,382.81 : x
2. Step 2: Convert to fraction form
   69,538.50/142,382.81 = 142,382.81/x
3. Step 3: Cross multiply
   69,538.50x = 142,382.81 × 142,382.81
4. Step 4: Simplify right side
   69,538.50x = 20,272,865,295.41
5. Step 5: Solve for x
   x = 20,272,865,295.41/69,538.50
6. Step 6: Final answer
   x = 291,534.41