Finding the Third Proportional to 78,366 and 117,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,366 : 117,546.50 = 117,546.50 : x
2. Step 2: Convert to fraction form
   78,366/117,546.50 = 117,546.50/x
3. Step 3: Cross multiply
   78,366x = 117,546.50 × 117,546.50
4. Step 4: Simplify right side
   78,366x = 13,817,179,662.25
5. Step 5: Solve for x
   x = 13,817,179,662.25/78,366
6. Step 6: Final answer
   x = 176,316.00