Finding the Third Proportional to 121,924,096 and 185,744,514

Step by Step Solution

1. Step 1: Write the proportion equation
   121,924,096 : 185,744,514 = 185,744,514 : x
2. Step 2: Convert to fraction form
   121,924,096/185,744,514 = 185,744,514/x
3. Step 3: Cross multiply
   121,924,096x = 185,744,514 × 185,744,514
4. Step 4: Simplify right side
   121,924,096x = 34,501,024,481,096,196
5. Step 5: Solve for x
   x = 34,501,024,481,096,196/121,924,096
6. Step 6: Final answer
   x = 282,971,337.19