Finding the Third Proportional to 69,096.75 and 145,159.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,096.75 : 145,159.50 = 145,159.50 : x
2. Step 2: Convert to fraction form
   69,096.75/145,159.50 = 145,159.50/x
3. Step 3: Cross multiply
   69,096.75x = 145,159.50 × 145,159.50
4. Step 4: Simplify right side
   69,096.75x = 21,071,280,440.25
5. Step 5: Solve for x
   x = 21,071,280,440.25/69,096.75
6. Step 6: Final answer
   x = 304,953.28