Finding the Third Proportional to 65,947.50 and 102,178.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,947.50 : 102,178.50 = 102,178.50 : x
2. Step 2: Convert to fraction form
   65,947.50/102,178.50 = 102,178.50/x
3. Step 3: Cross multiply
   65,947.50x = 102,178.50 × 102,178.50
4. Step 4: Simplify right side
   65,947.50x = 10,440,445,862.25
5. Step 5: Solve for x
   x = 10,440,445,862.25/65,947.50
6. Step 6: Final answer
   x = 158,314.51