Finding the Third Proportional to 56,209 and 75,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,209 : 75,185.50 = 75,185.50 : x
2. Step 2: Convert to fraction form
   56,209/75,185.50 = 75,185.50/x
3. Step 3: Cross multiply
   56,209x = 75,185.50 × 75,185.50
4. Step 4: Simplify right side
   56,209x = 5,652,859,410.25
5. Step 5: Solve for x
   x = 5,652,859,410.25/56,209
6. Step 6: Final answer
   x = 100,568.58