Finding the Third Proportional to 113,464 and 243,776

Step by Step Solution

1. Step 1: Write the proportion equation
   113,464 : 243,776 = 243,776 : x
2. Step 2: Convert to fraction form
   113,464/243,776 = 243,776/x
3. Step 3: Cross multiply
   113,464x = 243,776 × 243,776
4. Step 4: Simplify right side
   113,464x = 59,426,738,176
5. Step 5: Solve for x
   x = 59,426,738,176/113,464
6. Step 6: Final answer
   x = 523,749.72