Finding the Third Proportional to 105,031.50 and 157,624.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,031.50 : 157,624.50 = 157,624.50 : x
2. Step 2: Convert to fraction form
   105,031.50/157,624.50 = 157,624.50/x
3. Step 3: Cross multiply
   105,031.50x = 157,624.50 × 157,624.50
4. Step 4: Simplify right side
   105,031.50x = 24,845,483,000.25
5. Step 5: Solve for x
   x = 24,845,483,000.25/105,031.50
6. Step 6: Final answer
   x = 236,552.68