Finding the Third Proportional to 133,774 and 183,437.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,774 : 183,437.50 = 183,437.50 : x
2. Step 2: Convert to fraction form
   133,774/183,437.50 = 183,437.50/x
3. Step 3: Cross multiply
   133,774x = 183,437.50 × 183,437.50
4. Step 4: Simplify right side
   133,774x = 33,649,316,406.25
5. Step 5: Solve for x
   x = 33,649,316,406.25/133,774
6. Step 6: Final answer
   x = 251,538.54