Finding the Third Proportional to 65,883 and 101,902.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,883 : 101,902.50 = 101,902.50 : x
2. Step 2: Convert to fraction form
   65,883/101,902.50 = 101,902.50/x
3. Step 3: Cross multiply
   65,883x = 101,902.50 × 101,902.50
4. Step 4: Simplify right side
   65,883x = 10,384,119,506.25
5. Step 5: Solve for x
   x = 10,384,119,506.25/65,883
6. Step 6: Final answer
   x = 157,614.55