Finding the Third Proportional to 66,460.50 and 146,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   66,460.50 : 146,407.50 = 146,407.50 : x
2. Step 2: Convert to fraction form
   66,460.50/146,407.50 = 146,407.50/x
3. Step 3: Cross multiply
   66,460.50x = 146,407.50 × 146,407.50
4. Step 4: Simplify right side
   66,460.50x = 21,435,156,056.25
5. Step 5: Solve for x
   x = 21,435,156,056.25/66,460.50
6. Step 6: Final answer
   x = 322,524.75