Finding the Third Proportional to 105,024 and 161,428.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,024 : 161,428.50 = 161,428.50 : x
2. Step 2: Convert to fraction form
   105,024/161,428.50 = 161,428.50/x
3. Step 3: Cross multiply
   105,024x = 161,428.50 × 161,428.50
4. Step 4: Simplify right side
   105,024x = 26,059,160,612.25
5. Step 5: Solve for x
   x = 26,059,160,612.25/105,024
6. Step 6: Final answer
   x = 248,125.77