Finding the Third Proportional to 92,213 and 142,413

Step by Step Solution

1. Step 1: Write the proportion equation
   92,213 : 142,413 = 142,413 : x
2. Step 2: Convert to fraction form
   92,213/142,413 = 142,413/x
3. Step 3: Cross multiply
   92,213x = 142,413 × 142,413
4. Step 4: Simplify right side
   92,213x = 20,281,462,569
5. Step 5: Solve for x
   x = 20,281,462,569/92,213
6. Step 6: Final answer
   x = 219,941.47