Finding the Third Proportional to 78,492 and 112,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,492 : 112,097.50 = 112,097.50 : x
2. Step 2: Convert to fraction form
   78,492/112,097.50 = 112,097.50/x
3. Step 3: Cross multiply
   78,492x = 112,097.50 × 112,097.50
4. Step 4: Simplify right side
   78,492x = 12,565,849,506.25
5. Step 5: Solve for x
   x = 12,565,849,506.25/78,492
6. Step 6: Final answer
   x = 160,090.83