Finding the Third Proportional to 77,424 and 109,030

Step by Step Solution

1. Step 1: Write the proportion equation
   77,424 : 109,030 = 109,030 : x
2. Step 2: Convert to fraction form
   77,424/109,030 = 109,030/x
3. Step 3: Cross multiply
   77,424x = 109,030 × 109,030
4. Step 4: Simplify right side
   77,424x = 11,887,540,900
5. Step 5: Solve for x
   x = 11,887,540,900/77,424
6. Step 6: Final answer
   x = 153,538.19