Finding the Third Proportional to 133,773 and 178,333.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,773 : 178,333.50 = 178,333.50 : x
2. Step 2: Convert to fraction form
   133,773/178,333.50 = 178,333.50/x
3. Step 3: Cross multiply
   133,773x = 178,333.50 × 178,333.50
4. Step 4: Simplify right side
   133,773x = 31,802,837,222.25
5. Step 5: Solve for x
   x = 31,802,837,222.25/133,773
6. Step 6: Final answer
   x = 237,737.34