Finding the Third Proportional to 66,577.50 and 146,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   66,577.50 : 146,047.50 = 146,047.50 : x
2. Step 2: Convert to fraction form
   66,577.50/146,047.50 = 146,047.50/x
3. Step 3: Cross multiply
   66,577.50x = 146,047.50 × 146,047.50
4. Step 4: Simplify right side
   66,577.50x = 21,329,872,256.25
5. Step 5: Solve for x
   x = 21,329,872,256.25/66,577.50
6. Step 6: Final answer
   x = 320,376.59