Finding the Third Proportional to 94,624 and 146,492

Step by Step Solution

1. Step 1: Write the proportion equation
   94,624 : 146,492 = 146,492 : x
2. Step 2: Convert to fraction form
   94,624/146,492 = 146,492/x
3. Step 3: Cross multiply
   94,624x = 146,492 × 146,492
4. Step 4: Simplify right side
   94,624x = 21,459,906,064
5. Step 5: Solve for x
   x = 21,459,906,064/94,624
6. Step 6: Final answer
   x = 226,791.36