Finding the Third Proportional to 138,429 and 197,953.88

Step by Step Solution

1. Step 1: Write the proportion equation
   138,429 : 197,953.88 = 197,953.88 : x
2. Step 2: Convert to fraction form
   138,429/197,953.88 = 197,953.88/x
3. Step 3: Cross multiply
   138,429x = 197,953.88 × 197,953.88
4. Step 4: Simplify right side
   138,429x = 39,185,736,627.52
5. Step 5: Solve for x
   x = 39,185,736,627.52/138,429
6. Step 6: Final answer
   x = 283,074.62