Finding the Third Proportional to 77,139 and 117,337.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,139 : 117,337.50 = 117,337.50 : x
2. Step 2: Convert to fraction form
   77,139/117,337.50 = 117,337.50/x
3. Step 3: Cross multiply
   77,139x = 117,337.50 × 117,337.50
4. Step 4: Simplify right side
   77,139x = 13,768,088,906.25
5. Step 5: Solve for x
   x = 13,768,088,906.25/77,139
6. Step 6: Final answer
   x = 178,484.15