Finding the Third Proportional to 65,523 and 98,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,523 : 98,827.50 = 98,827.50 : x
2. Step 2: Convert to fraction form
   65,523/98,827.50 = 98,827.50/x
3. Step 3: Cross multiply
   65,523x = 98,827.50 × 98,827.50
4. Step 4: Simplify right side
   65,523x = 9,766,874,756.25
5. Step 5: Solve for x
   x = 9,766,874,756.25/65,523
6. Step 6: Final answer
   x = 149,060.25