Finding the Third Proportional to 122,624 and 187,500

Step by Step Solution

1. Step 1: Write the proportion equation
   122,624 : 187,500 = 187,500 : x
2. Step 2: Convert to fraction form
   122,624/187,500 = 187,500/x
3. Step 3: Cross multiply
   122,624x = 187,500 × 187,500
4. Step 4: Simplify right side
   122,624x = 35,156,250,000
5. Step 5: Solve for x
   x = 35,156,250,000/122,624
6. Step 6: Final answer
   x = 286,699.59