Finding the Third Proportional to 133,116 and 289,555.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,116 : 289,555.50 = 289,555.50 : x
2. Step 2: Convert to fraction form
   133,116/289,555.50 = 289,555.50/x
3. Step 3: Cross multiply
   133,116x = 289,555.50 × 289,555.50
4. Step 4: Simplify right side
   133,116x = 83,842,387,580.25
5. Step 5: Solve for x
   x = 83,842,387,580.25/133,116
6. Step 6: Final answer
   x = 629,844.55