Finding the Third Proportional to 69,651 and 152,655.75

Step by Step Solution

1. Step 1: Write the proportion equation
   69,651 : 152,655.75 = 152,655.75 : x
2. Step 2: Convert to fraction form
   69,651/152,655.75 = 152,655.75/x
3. Step 3: Cross multiply
   69,651x = 152,655.75 × 152,655.75
4. Step 4: Simplify right side
   69,651x = 23,303,778,008.06
5. Step 5: Solve for x
   x = 23,303,778,008.06/69,651
6. Step 6: Final answer
   x = 334,579.23