Finding the Third Proportional to 91,388 and 137,083

Step by Step Solution

1. Step 1: Write the proportion equation
   91,388 : 137,083 = 137,083 : x
2. Step 2: Convert to fraction form
   91,388/137,083 = 137,083/x
3. Step 3: Cross multiply
   91,388x = 137,083 × 137,083
4. Step 4: Simplify right side
   91,388x = 18,791,748,889
5. Step 5: Solve for x
   x = 18,791,748,889/91,388
6. Step 6: Final answer
   x = 205,626.00