Finding the Third Proportional to 65,381 and 101,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,381 : 101,419.50 = 101,419.50 : x
2. Step 2: Convert to fraction form
   65,381/101,419.50 = 101,419.50/x
3. Step 3: Cross multiply
   65,381x = 101,419.50 × 101,419.50
4. Step 4: Simplify right side
   65,381x = 10,285,914,980.25
5. Step 5: Solve for x
   x = 10,285,914,980.25/65,381
6. Step 6: Final answer
   x = 157,322.69