Finding the Third Proportional to 70,096 and 153,762.50

Step by Step Solution

1. Step 1: Write the proportion equation
   70,096 : 153,762.50 = 153,762.50 : x
2. Step 2: Convert to fraction form
   70,096/153,762.50 = 153,762.50/x
3. Step 3: Cross multiply
   70,096x = 153,762.50 × 153,762.50
4. Step 4: Simplify right side
   70,096x = 23,642,906,406.25
5. Step 5: Solve for x
   x = 23,642,906,406.25/70,096
6. Step 6: Final answer
   x = 337,293.23