Finding the Third Proportional to 42,570 and 99,429

Step by Step Solution

1. Step 1: Write the proportion equation
   42,570 : 99,429 = 99,429 : x
2. Step 2: Convert to fraction form
   42,570/99,429 = 99,429/x
3. Step 3: Cross multiply
   42,570x = 99,429 × 99,429
4. Step 4: Simplify right side
   42,570x = 9,886,126,041
5. Step 5: Solve for x
   x = 9,886,126,041/42,570
6. Step 6: Final answer
   x = 232,232.23