Finding the Third Proportional to 91,160 and 137,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,160 : 137,997.50 = 137,997.50 : x
2. Step 2: Convert to fraction form
   91,160/137,997.50 = 137,997.50/x
3. Step 3: Cross multiply
   91,160x = 137,997.50 × 137,997.50
4. Step 4: Simplify right side
   91,160x = 19,043,310,006.25
5. Step 5: Solve for x
   x = 19,043,310,006.25/91,160
6. Step 6: Final answer
   x = 208,899.85