Finding the Third Proportional to 38,356 and 89,658

Step by Step Solution

1. Step 1: Write the proportion equation
   38,356 : 89,658 = 89,658 : x
2. Step 2: Convert to fraction form
   38,356/89,658 = 89,658/x
3. Step 3: Cross multiply
   38,356x = 89,658 × 89,658
4. Step 4: Simplify right side
   38,356x = 8,038,556,964
5. Step 5: Solve for x
   x = 8,038,556,964/38,356
6. Step 6: Final answer
   x = 209,577.56