Finding the Third Proportional to 58,178 and 89,547

Step by Step Solution

1. Step 1: Write the proportion equation
   58,178 : 89,547 = 89,547 : x
2. Step 2: Convert to fraction form
   58,178/89,547 = 89,547/x
3. Step 3: Cross multiply
   58,178x = 89,547 × 89,547
4. Step 4: Simplify right side
   58,178x = 8,018,665,209
5. Step 5: Solve for x
   x = 8,018,665,209/58,178
6. Step 6: Final answer
   x = 137,829.85