Finding the Third Proportional to 37,120 and 77,312

Step by Step Solution

1. Step 1: Write the proportion equation
   37,120 : 77,312 = 77,312 : x
2. Step 2: Convert to fraction form
   37,120/77,312 = 77,312/x
3. Step 3: Cross multiply
   37,120x = 77,312 × 77,312
4. Step 4: Simplify right side
   37,120x = 5,977,145,344
5. Step 5: Solve for x
   x = 5,977,145,344/37,120
6. Step 6: Final answer
   x = 161,022.23