Finding the Third Proportional to 117,424 and 157,300

Step by Step Solution

1. Step 1: Write the proportion equation
   117,424 : 157,300 = 157,300 : x
2. Step 2: Convert to fraction form
   117,424/157,300 = 157,300/x
3. Step 3: Cross multiply
   117,424x = 157,300 × 157,300
4. Step 4: Simplify right side
   117,424x = 24,743,290,000
5. Step 5: Solve for x
   x = 24,743,290,000/117,424
6. Step 6: Final answer
   x = 210,717.49