Finding the Third Proportional to 69,688.50 and 148,366.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,688.50 : 148,366.50 = 148,366.50 : x
2. Step 2: Convert to fraction form
   69,688.50/148,366.50 = 148,366.50/x
3. Step 3: Cross multiply
   69,688.50x = 148,366.50 × 148,366.50
4. Step 4: Simplify right side
   69,688.50x = 22,012,618,322.25
5. Step 5: Solve for x
   x = 22,012,618,322.25/69,688.50
6. Step 6: Final answer
   x = 315,871.60