Finding the Third Proportional to 65,709 and 101,623.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,709 : 101,623.50 = 101,623.50 : x
2. Step 2: Convert to fraction form
   65,709/101,623.50 = 101,623.50/x
3. Step 3: Cross multiply
   65,709x = 101,623.50 × 101,623.50
4. Step 4: Simplify right side
   65,709x = 10,327,335,752.25
5. Step 5: Solve for x
   x = 10,327,335,752.25/65,709
6. Step 6: Final answer
   x = 157,167.75