Finding the Third Proportional to 101,802 and 152,715

Step by Step Solution

1. Step 1: Write the proportion equation
   101,802 : 152,715 = 152,715 : x
2. Step 2: Convert to fraction form
   101,802/152,715 = 152,715/x
3. Step 3: Cross multiply
   101,802x = 152,715 × 152,715
4. Step 4: Simplify right side
   101,802x = 23,321,871,225
5. Step 5: Solve for x
   x = 23,321,871,225/101,802
6. Step 6: Final answer
   x = 229,090.50