Finding the Third Proportional to 69,066 and 152,653.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,066 : 152,653.50 = 152,653.50 : x
2. Step 2: Convert to fraction form
   69,066/152,653.50 = 152,653.50/x
3. Step 3: Cross multiply
   69,066x = 152,653.50 × 152,653.50
4. Step 4: Simplify right side
   69,066x = 23,303,091,062.25
5. Step 5: Solve for x
   x = 23,303,091,062.25/69,066
6. Step 6: Final answer
   x = 337,403.22