Finding the Third Proportional to 58,146 and 89,507

Step by Step Solution

1. Step 1: Write the proportion equation
   58,146 : 89,507 = 89,507 : x
2. Step 2: Convert to fraction form
   58,146/89,507 = 89,507/x
3. Step 3: Cross multiply
   58,146x = 89,507 × 89,507
4. Step 4: Simplify right side
   58,146x = 8,011,503,049
5. Step 5: Solve for x
   x = 8,011,503,049/58,146
6. Step 6: Final answer
   x = 137,782.53