Finding the Third Proportional to 78,491 and 117,558.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,491 : 117,558.50 = 117,558.50 : x
2. Step 2: Convert to fraction form
   78,491/117,558.50 = 117,558.50/x
3. Step 3: Cross multiply
   78,491x = 117,558.50 × 117,558.50
4. Step 4: Simplify right side
   78,491x = 13,820,000,922.25
5. Step 5: Solve for x
   x = 13,820,000,922.25/78,491
6. Step 6: Final answer
   x = 176,071.15