Finding the Third Proportional to 78,490 and 112,095.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,490 : 112,095.50 = 112,095.50 : x
2. Step 2: Convert to fraction form
   78,490/112,095.50 = 112,095.50/x
3. Step 3: Cross multiply
   78,490x = 112,095.50 × 112,095.50
4. Step 4: Simplify right side
   78,490x = 12,565,401,120.25
5. Step 5: Solve for x
   x = 12,565,401,120.25/78,490
6. Step 6: Final answer
   x = 160,089.20