Finding the Third Proportional to 49,377 and 109,430.63

Step by Step Solution

1. Step 1: Write the proportion equation
   49,377 : 109,430.63 = 109,430.63 : x
2. Step 2: Convert to fraction form
   49,377/109,430.63 = 109,430.63/x
3. Step 3: Cross multiply
   49,377x = 109,430.63 × 109,430.63
4. Step 4: Simplify right side
   49,377x = 11,975,061,687.89
5. Step 5: Solve for x
   x = 11,975,061,687.89/49,377
6. Step 6: Final answer
   x = 242,523.07