Finding the Third Proportional to 47,194 and 103,139

Step by Step Solution

1. Step 1: Write the proportion equation
   47,194 : 103,139 = 103,139 : x
2. Step 2: Convert to fraction form
   47,194/103,139 = 103,139/x
3. Step 3: Cross multiply
   47,194x = 103,139 × 103,139
4. Step 4: Simplify right side
   47,194x = 10,637,653,321
5. Step 5: Solve for x
   x = 10,637,653,321/47,194
6. Step 6: Final answer
   x = 225,402.66