Finding the Third Proportional to 77,783 and 117,388.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,783 : 117,388.50 = 117,388.50 : x
2. Step 2: Convert to fraction form
   77,783/117,388.50 = 117,388.50/x
3. Step 3: Cross multiply
   77,783x = 117,388.50 × 117,388.50
4. Step 4: Simplify right side
   77,783x = 13,780,059,932.25
5. Step 5: Solve for x
   x = 13,780,059,932.25/77,783
6. Step 6: Final answer
   x = 177,160.30