Finding the Third Proportional to 77,061 and 120,916

Step by Step Solution

1. Step 1: Write the proportion equation
   77,061 : 120,916 = 120,916 : x
2. Step 2: Convert to fraction form
   77,061/120,916 = 120,916/x
3. Step 3: Cross multiply
   77,061x = 120,916 × 120,916
4. Step 4: Simplify right side
   77,061x = 14,620,679,056
5. Step 5: Solve for x
   x = 14,620,679,056/77,061
6. Step 6: Final answer
   x = 189,728.64