Finding the Third Proportional to 75,930 and 109,362

Step by Step Solution

1. Step 1: Write the proportion equation
   75,930 : 109,362 = 109,362 : x
2. Step 2: Convert to fraction form
   75,930/109,362 = 109,362/x
3. Step 3: Cross multiply
   75,930x = 109,362 × 109,362
4. Step 4: Simplify right side
   75,930x = 11,960,047,044
5. Step 5: Solve for x
   x = 11,960,047,044/75,930
6. Step 6: Final answer
   x = 157,514.12