Finding the Third Proportional to 42,413 and 84,820

Step by Step Solution

1. Step 1: Write the proportion equation
   42,413 : 84,820 = 84,820 : x
2. Step 2: Convert to fraction form
   42,413/84,820 = 84,820/x
3. Step 3: Cross multiply
   42,413x = 84,820 × 84,820
4. Step 4: Simplify right side
   42,413x = 7,194,432,400
5. Step 5: Solve for x
   x = 7,194,432,400/42,413
6. Step 6: Final answer
   x = 169,628.00