Finding the Third Proportional to 69,907.50 and 149,656.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,907.50 : 149,656.50 = 149,656.50 : x
2. Step 2: Convert to fraction form
   69,907.50/149,656.50 = 149,656.50/x
3. Step 3: Cross multiply
   69,907.50x = 149,656.50 × 149,656.50
4. Step 4: Simplify right side
   69,907.50x = 22,397,067,992.25
5. Step 5: Solve for x
   x = 22,397,067,992.25/69,907.50
6. Step 6: Final answer
   x = 320,381.48