Finding the Third Proportional to 77,835 and 120,748.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,835 : 120,748.50 = 120,748.50 : x
2. Step 2: Convert to fraction form
   77,835/120,748.50 = 120,748.50/x
3. Step 3: Cross multiply
   77,835x = 120,748.50 × 120,748.50
4. Step 4: Simplify right side
   77,835x = 14,580,200,252.25
5. Step 5: Solve for x
   x = 14,580,200,252.25/77,835
6. Step 6: Final answer
   x = 187,321.90