Finding the Third Proportional to 91,371 and 137,056.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,371 : 137,056.50 = 137,056.50 : x
2. Step 2: Convert to fraction form
   91,371/137,056.50 = 137,056.50/x
3. Step 3: Cross multiply
   91,371x = 137,056.50 × 137,056.50
4. Step 4: Simplify right side
   91,371x = 18,784,484,192.25
5. Step 5: Solve for x
   x = 18,784,484,192.25/91,371
6. Step 6: Final answer
   x = 205,584.75