Finding the Third Proportional to 78,380 and 112,038

Step by Step Solution

1. Step 1: Write the proportion equation
   78,380 : 112,038 = 112,038 : x
2. Step 2: Convert to fraction form
   78,380/112,038 = 112,038/x
3. Step 3: Cross multiply
   78,380x = 112,038 × 112,038
4. Step 4: Simplify right side
   78,380x = 12,552,513,444
5. Step 5: Solve for x
   x = 12,552,513,444/78,380
6. Step 6: Final answer
   x = 160,149.44