Finding the Third Proportional to 101,570 and 215,428

Step by Step Solution

1. Step 1: Write the proportion equation
   101,570 : 215,428 = 215,428 : x
2. Step 2: Convert to fraction form
   101,570/215,428 = 215,428/x
3. Step 3: Cross multiply
   101,570x = 215,428 × 215,428
4. Step 4: Simplify right side
   101,570x = 46,409,223,184
5. Step 5: Solve for x
   x = 46,409,223,184/101,570
6. Step 6: Final answer
   x = 456,918.61