Finding the Third Proportional to 65,685 and 98,392.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,685 : 98,392.50 = 98,392.50 : x
2. Step 2: Convert to fraction form
   65,685/98,392.50 = 98,392.50/x
3. Step 3: Cross multiply
   65,685x = 98,392.50 × 98,392.50
4. Step 4: Simplify right side
   65,685x = 9,681,084,056.25
5. Step 5: Solve for x
   x = 9,681,084,056.25/65,685
6. Step 6: Final answer
   x = 147,386.53