Finding the Third Proportional to 90,026 and 196,251

Step by Step Solution

1. Step 1: Write the proportion equation
   90,026 : 196,251 = 196,251 : x
2. Step 2: Convert to fraction form
   90,026/196,251 = 196,251/x
3. Step 3: Cross multiply
   90,026x = 196,251 × 196,251
4. Step 4: Simplify right side
   90,026x = 38,514,455,001
5. Step 5: Solve for x
   x = 38,514,455,001/90,026
6. Step 6: Final answer
   x = 427,814.80