Finding the Third Proportional to 189,507 and 260,356.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,507 : 260,356.50 = 260,356.50 : x
2. Step 2: Convert to fraction form
   189,507/260,356.50 = 260,356.50/x
3. Step 3: Cross multiply
   189,507x = 260,356.50 × 260,356.50
4. Step 4: Simplify right side
   189,507x = 67,785,507,092.25
5. Step 5: Solve for x
   x = 67,785,507,092.25/189,507
6. Step 6: Final answer
   x = 357,693.95