Finding the Third Proportional to 152,394 and 237,316.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,394 : 237,316.50 = 237,316.50 : x
2. Step 2: Convert to fraction form
   152,394/237,316.50 = 237,316.50/x
3. Step 3: Cross multiply
   152,394x = 237,316.50 × 237,316.50
4. Step 4: Simplify right side
   152,394x = 56,319,121,172.25
5. Step 5: Solve for x
   x = 56,319,121,172.25/152,394
6. Step 6: Final answer
   x = 369,562.59