Finding the Third Proportional to 121,830 and 187,502.63

Step by Step Solution

1. Step 1: Write the proportion equation
   121,830 : 187,502.63 = 187,502.63 : x
2. Step 2: Convert to fraction form
   121,830/187,502.63 = 187,502.63/x
3. Step 3: Cross multiply
   121,830x = 187,502.63 × 187,502.63
4. Step 4: Simplify right side
   121,830x = 35,157,234,381.89
5. Step 5: Solve for x
   x = 35,157,234,381.89/121,830
6. Step 6: Final answer
   x = 288,576.17