Finding the Third Proportional to 91,008 and 137,784

Step by Step Solution

1. Step 1: Write the proportion equation
   91,008 : 137,784 = 137,784 : x
2. Step 2: Convert to fraction form
   91,008/137,784 = 137,784/x
3. Step 3: Cross multiply
   91,008x = 137,784 × 137,784
4. Step 4: Simplify right side
   91,008x = 18,984,430,656
5. Step 5: Solve for x
   x = 18,984,430,656/91,008
6. Step 6: Final answer
   x = 208,601.78