Finding the Third Proportional to 78,774 and 117,886.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,774 : 117,886.50 = 117,886.50 : x
2. Step 2: Convert to fraction form
   78,774/117,886.50 = 117,886.50/x
3. Step 3: Cross multiply
   78,774x = 117,886.50 × 117,886.50
4. Step 4: Simplify right side
   78,774x = 13,897,226,882.25
5. Step 5: Solve for x
   x = 13,897,226,882.25/78,774
6. Step 6: Final answer
   x = 176,418.96