Finding the Third Proportional to 85,410 and 133,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,410 : 133,597.50 = 133,597.50 : x
2. Step 2: Convert to fraction form
   85,410/133,597.50 = 133,597.50/x
3. Step 3: Cross multiply
   85,410x = 133,597.50 × 133,597.50
4. Step 4: Simplify right side
   85,410x = 17,848,292,006.25
5. Step 5: Solve for x
   x = 17,848,292,006.25/85,410
6. Step 6: Final answer
   x = 208,971.92