Finding the Third Proportional to 77,769 and 109,590.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,769 : 109,590.50 = 109,590.50 : x
2. Step 2: Convert to fraction form
   77,769/109,590.50 = 109,590.50/x
3. Step 3: Cross multiply
   77,769x = 109,590.50 × 109,590.50
4. Step 4: Simplify right side
   77,769x = 12,010,077,690.25
5. Step 5: Solve for x
   x = 12,010,077,690.25/77,769
6. Step 6: Final answer
   x = 154,432.71