Finding the Third Proportional to 86,410 and 133,300.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,410 : 133,300.50 = 133,300.50 : x
2. Step 2: Convert to fraction form
   86,410/133,300.50 = 133,300.50/x
3. Step 3: Cross multiply
   86,410x = 133,300.50 × 133,300.50
4. Step 4: Simplify right side
   86,410x = 17,769,023,300.25
5. Step 5: Solve for x
   x = 17,769,023,300.25/86,410
6. Step 6: Final answer
   x = 205,636.19