Finding the Third Proportional to 77,910 and 111,406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,910 : 111,406.50 = 111,406.50 : x
2. Step 2: Convert to fraction form
   77,910/111,406.50 = 111,406.50/x
3. Step 3: Cross multiply
   77,910x = 111,406.50 × 111,406.50
4. Step 4: Simplify right side
   77,910x = 12,411,408,242.25
5. Step 5: Solve for x
   x = 12,411,408,242.25/77,910
6. Step 6: Final answer
   x = 159,304.43