Finding the Third Proportional to 77,784 and 120,111

Step by Step Solution

1. Step 1: Write the proportion equation
   77,784 : 120,111 = 120,111 : x
2. Step 2: Convert to fraction form
   77,784/120,111 = 120,111/x
3. Step 3: Cross multiply
   77,784x = 120,111 × 120,111
4. Step 4: Simplify right side
   77,784x = 14,426,652,321
5. Step 5: Solve for x
   x = 14,426,652,321/77,784
6. Step 6: Final answer
   x = 185,470.69