Finding the Third Proportional to 93,507 and 205,694.25

Step by Step Solution

1. Step 1: Write the proportion equation
   93,507 : 205,694.25 = 205,694.25 : x
2. Step 2: Convert to fraction form
   93,507/205,694.25 = 205,694.25/x
3. Step 3: Cross multiply
   93,507x = 205,694.25 × 205,694.25
4. Step 4: Simplify right side
   93,507x = 42,310,124,483.06
5. Step 5: Solve for x
   x = 42,310,124,483.06/93,507
6. Step 6: Final answer
   x = 452,480.82