Finding the Third Proportional to 69,032.25 and 142,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,032.25 : 142,468.50 = 142,468.50 : x
2. Step 2: Convert to fraction form
   69,032.25/142,468.50 = 142,468.50/x
3. Step 3: Cross multiply
   69,032.25x = 142,468.50 × 142,468.50
4. Step 4: Simplify right side
   69,032.25x = 20,297,273,492.25
5. Step 5: Solve for x
   x = 20,297,273,492.25/69,032.25
6. Step 6: Final answer
   x = 294,025.96